Find the inverse of the following statements.
"If it is raining, then the soil is wet."
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If it is not raining, then the soil is not wet."
If a continuous function is never 0, then its sign never changes.
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If a continuous function is equal to 0 at some point, then its sign changes."
If a number is divisible by 2, then it is even
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If a number is not divisible by 2, then it is not even."
If the degree of a polynomial is 2, then it is called a quadratic.
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If the degree of a polynomial is not 2, then it is not called a quadratic."
If two sets intersect, then neither can be empty.
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If two sets don't intersect, then either can be empty."
If a number is greater than 0, then it is positive.
The inverse of a statement negates both the hypothesis and conclusion.
The inverse of the statement is: "If a number is not greater than 0, then it is not positive."
If it is Sunday, then we don't work.
The inverse of a statement negates both the hypothesis and conclusion.
The inverse is: "If it is not Sunday, then we work."